SOLUTION: The mean of a normal probability distribution is 60; the standard deviation is 5. (Round your answers to 2 decimal places. Omit the % sign in your response.)
(a) About what p
Algebra.Com
Question 658744: The mean of a normal probability distribution is 60; the standard deviation is 5. (Round your answers to 2 decimal places. Omit the % sign in your response.)
(a) About what percent of the observations lie between 55 and 65?
Percentage of observations %
(b) About what percent of the observations lie between 50 and 70?
Percentage of observations %
(c) About what percent of the observations lie between 45 and 75?
Percentage of observations %
Answer by colliefan(242) (Show Source): You can put this solution on YOUR website!
Draw a bell curve with the mean (middle of the bell) at 60.
The standard deviation is 5, so 55 is one standard deviation below the mean and 65 is one standard deviation above the mean. Look in your book and you will see that the percentage of observations within one standard deviation is 68%.
The standard deviation is 5, so 50 is two standard deviation below the mean and 70 is two standard deviation above the mean. Look in your book and you will see that the percentage of observations within two standard deviation is 95%.
The standard deviation is 5, so 45 is three standard deviation below the mean and 75 is three standard deviation above the mean. Look in your book and you will see that the percentage of observations within three standard deviation is 99%.
RELATED QUESTIONS
A normal population has a mean of 60 and a standard deviation of 3. You select a sample... (answered by Boreal)
A normal population has a mean of 60 and a standard deviation of 3. You select a sample... (answered by Boreal)
A normal population has a mean of 60 and a standard deviation of 3. You select a sample... (answered by Boreal)
A normal distribution has a mean of 224 and a standard deviation of 12. Find the... (answered by stanbon)
The number of viewers of American Idol has a mean of 32 million with a standard deviation (answered by ewatrrr)
According to the Internal Revenue Service, the mean tax refund for the year 2014 was... (answered by stanbon)
Consider a normal distribution with mean 22 and standard deviation 7. What is the... (answered by Fombitz)
Consider a normal distribution with mean 21 and standard deviation 6. What is the... (answered by jim_thompson5910)
According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy, (answered by ewatrrr)